Black hole spectra in holography: consequences for equilibration of dual gauge theories

Abstract

For a closed system to equilibrate from a given initial condition there must exist an equilibrium state with the energy equal to the initial one. Equilibrium states of a strongly coupled gauge theory with a gravitational holographic dual are represented by black holes. We study the spectrum of black holes in Pilch-Warner geometry. These black holes are holographically dual to equilibrium states of strongly coupled $SU(N)$ $\mathcal{N}=2^{\ast }$ gauge theory plasma on $S^3$ in the planar limit. We find that there is no energy gap in the black hole spectrum. Thus, there is a priory no obstruction for equilibration of arbitrary low-energy states in the theory via a small black hole gravitational collapse. The latter is contrasted with phenomenological examples of holography with dual four-dimensional CFTs having non-equal central charges in the stress-energy tensor trace anomaly.

34 pages, 6 figures; v2: NPB published version (31 pages, 5 figures)

References in corpus (8)

• Holographic Thermalization, stability of AdS, and the Fermi-Pasta-Ulam-Tsingou paradox
• The black hole in the throat - thermodynamics of strongly coupled cascading gauge theories
• Holography for $\mathcal{N}=2^{\ast }$ on $S^4$
• Thermodynamics of the N=2^* strongly coupled plasma
• Stability of AdS in Einstein Gauss Bonnet Gravity
• Constraining gravity using entanglement in AdS/CFT
• On consistent truncations in $\mathcal{N}=2^{\ast }$ holography
• Universality of non-equilibrium dynamics of CFTs from holography

Cited by in corpus (5)

• Compactified holographic conformal order
• Fully resonant scalars on asymptotically AdS wormholes
• A bestiary of black holes on the conifold with fluxes
• Small black holes in $Ad{S}_5\times S^5$
• Stabilization of the extended horizons